Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9509, 9514 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9509 and 9514 is 1.
GCF(9509,9514) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9509
37 | 9509 |
257 | 257 |
1 |
Prime factors of 9509 are 37,257. Prime factorization of 9509 in exponential form is:
9509 = 371×2571
Prime Factorization of 9514
2 | 9514 |
67 | 4757 |
71 | 71 |
1 |
Prime factors of 9514 are 2,67,71. Prime factorization of 9514 in exponential form is:
9514 = 21×671×711
∴ So by taking common prime factors GCF of 9509 and 9514 is 1
Factors of 9509
List of positive integer factors of 9509 that divides 9509 without a remainder.
1,37,257,9509
Factors of 9514
List of positive integer factors of 9514 that divides 9514 without a remainder.
1,2,67,71,134,142,4757,9514
Greatest Common Factor
We found the factors and prime factorization of 9509 and 9514. The biggest common factor number is the GCF number.
So the greatest common factor 9509 and 9514 is 1.
Also check out the Least Common Multiple of 9509 and 9514
(i) The GCF of 9509 and 9514 is associative
GCF of 9509 and 9514 = GCF of 9514 and 9509
1. What is the GCF of 9509 and 9514?
Answer: GCF of 9509 and 9514 is 1.
2. What are the Factors of 9509?
Answer: Factors of 9509 are 1, 37, 257, 9509. There are 4 integers that are factors of 9509. The greatest factor of 9509 is 9509.
3. What are the Factors of 9514?
Answer: Factors of 9514 are 1, 2, 67, 71, 134, 142, 4757, 9514. There are 8 integers that are factors of 9514. The greatest factor of 9514 is 9514.
4. How to Find the GCF of 9509 and 9514?
Answer:
Greatest Common Factor of 9509 and 9514 = 1
Step 1: Find the prime factorization of 9509
9509 = 37 x 257
Step 2: Find the prime factorization of 9514
9514 = 2 x 67 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9509 and 9514 is 1